Class 11

Pair of straight lines question bank (Maths)

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Q1.

The values of $h$ for which the equation $3x^2 + 2hxy - 3y^2 - 40x + 30y - 75 = 0$ represents a pair of straight lines are:

(A)
$4, 4$
(B)
$4, 6$
(C)
$4, -4$
(D)
$0, 4$
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Q2.

The equation of the pair of lines passing through the origin and parallel to the lines $y = m_1x + c_1$ and $y = m_2x + c_2$ is:

(A)
$m_1m_2x^2 - (m_1 + m_2)xy + y^2 = 0$
(B)
$m_1m_2x^2 + (m_1 + m_2)xy + y^2 = 0$
(C)
$m_1m_2y^2 - (m_1 + m_2)xy + x^2 = 0$
(D)
$m_1m_2y^2 + (m_1 + m_2)xy + x^2 = 0$
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